Embedded Files
Pre-Prints:
Pre-Prints:
Thresholds in weighted \ell^2 via sparse Fourier spectrum, ArXiv pre-print, updated August 2025.
Summable analogous to the Ivashev-Musatov Theorems, ArXiv pre-print, updated May 2025.
Revisiting cyclic elements in growth spaces (with L. Bergqvist and B. Malman), ArXiv pre-print, updated April 2025.
Asymptotic polynomial approximation in the Bloch space, ArXiv pre-print, updated March 2024.
Inner functions, Invariant subspaces and cyclicity in Pt(mu)-spaces, (with B. Malman), ArXiv pre-print, updated August 2021.
Sparse Lerner operators in infinite dimensions, (with S. Pott), ArXiv pre-print, updated March 2021.
Publications:
Publications:
A generic threshold phenomena in weighted \ell^2, accepted for publication in Comptes Rendus Mathématique, ArXiv pre-print, updated May 2025.
Shift invariant subspaces in the Bloch space (with A. Nicolau), accepted for publication in American Journal of Mathematics, ArXiv pre-print, updated July 2023.
Fourier coefficients of Normalized Cauchy transforms, accepted for publication in Journal d'Analyse Mathématique, ArXiv pre-print, updated October 2024.
Shift invariant subspaces in growth spaces and sets of finite entropy, Journal of the London Math. Soc., Volume 109, Issue 5, May 2024. ArXiv version.
Constructions of some families of smooth Cauchy transforms, (with B. Malman), Canadian Journal of Math, p 1-26, January 2023. doi: 10.4153/S0008412X23000081. ArXiv-version.
On the problem of smooth approximations in H(b) and connections to subnormal operators, (with B. Malman), Journal of Functional Analysis, Volume 284, Issue 5, March 2023, 109803. ArXiv-version.
An abstract approach to approximation in spaces of pseudocontinuable functions, (with B. Malman), Proc. Amer. Math. Soc. 150, March 2022, 2509-2519. ArXiv-version.
On Model spaces and density of functions smooth on the boundary, (with B. Malman), Rev. Mat. Iberoam, August 2022. ArXiv-version.
Bloch functions and Bekollé-Bonami weights, (with A. Nicolau), Indiana Univ. Math. J. 72, no.2 (2023), 381-207. ArXiv-version.
Generalized Cesaro operators: geometry of spectra and quasi-nilpotency, (with B. Malman), International Mathematical Research Notices, Volume 2021, Issue 23, December 2021, Pages 17695-17707. ArXiv-version.
Sketchy drafts under construction:
Sketchy drafts under construction:
1.) Simultaneous approximation in Dirichlet-type spaces (working title):
Simultaneous approximation in weighted Dirichlet spaces.pdfPage updated
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